Search results for "Energy Levels"

showing 5 items of 245 documents

A Complete, Exact and Efficient Implementation for Computing the Edge-Adjacency Graph of an Arrangement of Quadrics

2011

International audience; We present a complete, exact and efficient implementation to compute the edge-adjacency graph of an arrangement of quadrics, i.e. surfaces of algebraic degree 2. This is a major step towards the computation of the full 3D arrangement. We enhanced an implementation for an exact parameterization of the intersection curves of two quadrics, such that we can compute the exact parameter value for intersection points and from that the edge-adjacency graph of the arrangement. Our implementation is complete in the sense that it can handle all kinds of inputs including all degenerate ones, i.e. singularities or tangential intersection points. It is exact in that it always comp…

pencils of quadricsIntersection curveComputation010103 numerical & computational mathematics02 engineering and technology[INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG]01 natural sciencesInterval arithmeticCombinatorics0202 electrical engineering electronic engineering information engineering0101 mathematicsAlgebraic numberMathematicsDiscrete mathematics[INFO.INFO-SC]Computer Science [cs]/Symbolic Computation [cs.SC]Algebra and Number TheoryImplicit functionDegenerate energy levels020207 software engineeringComputational Mathematicsintersection of surfacesAdjacency listcurve parameterizationGravitational singularityArrangementquadricsMathematicsofComputing_DISCRETEMATHEMATICS
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On the Porosity of Free Boundaries in Degenerate Variational Inequalities

2000

Abstract In this note we consider a certain degenerate variational problem with constraint identically zero. The exact growth of the solution near the free boundary is established. A consequence of this is that the free boundary is porous and therefore its Hausdorff dimension is less than N and hence it is of Lebesgue measure zero.

porosityLebesgue measureApplied MathematicsDegenerate energy levelsMathematical analysisZero (complex analysis)Boundary (topology)nonhomogeneous p-Laplace equationfree boundaryobstacle problemHausdorff dimensionVariational inequalityObstacle problemFree boundary problemAnalysisMathematicsJournal of Differential Equations
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Energy level determination of purine containing blue light emitting organic compounds

2018

Organic light emitting diodes (OLED) have found their applications in the mobile and TV screens. Till now the commercially available diodes are made by expensive thermal evaporation in a vacuum. The costs of OLED fabrication could be decreased by applying low-cost wet casting methods, for example, spin-coating. In this work, we have studied a group of blue light emitting purine derivatives which could potentially be used in OLEDs. The advantage of these compounds is their ability to form amorphous thin films from solutions. All the thin films were prepared by the spincoating method from chloroform solution on ITO glass. The position of hole and electron transport energy levels is important …

purinechemistry.chemical_classificationMaterials sciencePhotoconductivityAnalytical chemistryphotoelectron emission02 engineering and technologyElectron acceptor010402 general chemistry021001 nanoscience & nanotechnology7. Clean energy01 natural sciencesElectron transport chain0104 chemical sciencesAmorphous solidOLEDchemistryElectron affinity:NATURAL SCIENCES:Physics [Research Subject Categories]OLEDphotoconductivityenergy levelsIonization energyThin film0210 nano-technologyOrganic Electronics and Photonics: Fundamentals and Devices
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Beyond the spin model: exchange coupling in molecular magnets with unquenched orbital angular momenta.

2011

In this critical review we review the problem of exchange interactions in polynuclear metal complexes involving orbitally degenerate metal ions. The key feature of these systems is that, in general, they carry an unquenched orbital angular momentum that manifests itself in all their magnetic properties. Thus, interest in degenerate systems involves fundamental problems related to basic models in magnetism. In particular, the conventional Heisenberg-Dirac-Van Vleck model becomes inapplicable even as an approximation. In the first part we attempt to answer two key questions, namely which theoretical tools are to be used in the case of degeneracy, and how these tools can be employed. We demons…

symbols.namesakeMagnetic anisotropyAngular momentumExchange biasZeeman effectCondensed matter physicsMagnetismChemistryExchange interactionDegenerate energy levelssymbolsGeneral ChemistryHamiltonian (quantum mechanics)Chemical Society reviews
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ChemInform Abstract: Magnetic Exchange Between Metal Ions with Unquenched Orbital Angular Momenta: Basic Concepts and Relevance to Molecular Magnetism

2010

This review article is a first attempt to give a systematic and comprehensive description (in the framework of the unified theoretical approach) of the exchange interactions in polynuclear systems based on orbitally degenerate metal ions in the context of their relevance to the modern molecular magnetism. Interest in these systems is related to the fundamental problems of magnetism and at the same time steered by a number of impressive potential applications of molecular magnets, like high-density memory storage units, nanoscale qubits, spintronics and photoswitchable devices. In the presence of orbital degeneracy, the conventional spin Hamiltonian (Heisenberg–Dirac–van Vleck model) becomes…

symbols.namesakeTheoretical physicsSpintronicsMagnetismChemistryQubitExchange interactionDegenerate energy levelssymbolsContext (language use)General MedicineHamiltonian (quantum mechanics)Degeneracy (mathematics)ChemInform
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